82257826356 has 36 divisors (see below), whose sum is σ = 220160654532. Its totient is φ = 25806376704.

The previous prime is 82257826351. The next prime is 82257826361. The reversal of 82257826356 is 65362875228.

It is a happy number.

82257826356 is a `hidden beast` number, since 8 + 2 + 2 + 578 + 2 + 63 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (82257826351) and next prime (82257826361).

It can be written as a sum of positive squares in 2 ways, for example, as 60631182756 + 21626643600 = 246234^2 + 147060^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82257826351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67203495 + ... + 67204718.

It is an arithmetic number, because the mean of its divisors is an integer number (6115573737).

Almost surely, 2^82257826356 is an apocalyptic number.

It is an amenable number.

82257826356 is an abundant number, since it is smaller than the sum of its proper divisors (137902828176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82257826356 is a wasteful number, since it uses less digits than its factorization.

82257826356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134408240 (or 134408235 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 82257826356 in words is "eighty-two billion, two hundred fifty-seven million, eight hundred twenty-six thousand, three hundred fifty-six".